Title
Compact combinatorial maps: A volume mesh data structure
Abstract
We propose a compact data structure for volumetric meshes of arbitrary topology and bounded valence that offers cell-face, face-edge, and edge-vertex incidence queries in constant time. Our structure is simple to implement, easy to use, and allows for arbitrary, user-defined 3-cells such as prisms and hexahedra, while remaining very efficient in memory usage compared to previous work. Its time complexity for commonly-used incidence and adjacency queries such as vertex and dart one-rings is analyzed.
Year
DOI
Venue
2013
10.1016/j.gmod.2012.10.001
Graphical Models
Keywords
Field
DocType
commonly-used incidence,compact combinatorial map,bounded valence,edge-vertex incidence query,memory usage,dart one-rings,compact data structure,constant time,previous work,arbitrary topology,time complexity,volume mesh data structure,3d mesh
Adjacency list,Data structure,Discrete mathematics,Hexahedron,Mathematical optimization,Polygon mesh,Vertex (geometry),Algorithm,Volume mesh,Time complexity,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
75
3
1524-0703
Citations 
PageRank 
References 
1
0.39
12
Authors
4
Name
Order
Citations
PageRank
Xin Feng110.72
Yuanzhen Wang28611.78
Yanlin Weng349215.36
Yiying Tong497746.77